Question

A large punch bowl holds 3.70 kg of lemonade (which is
essentially water) at 25.0 ∘C. A 6.00×10^{−2}-kg ice cube
at -11.0 ∘C is placed in the lemonade.

What is the final temperature of the system? Ignore any heat exchange with the bowl or the surroundings.

What is the amount of ice (if any) remaining?

Answer #1

here

Specific heat of water = 4181.3 J/(kg.K)

Specific heat of ice = 2110 J/(kg.K)

Latent heat of fusion for water = 334000 J/kg

Energy absorbed by ice warming to 0 deg C

= 2110 * 0.06 * 11 = 1392.6 J

Energy released by lemonade cooling to 0 deg C

= 4181.3 * 3.7 * 25 = 386770.25 J

Surplus energy from lemonade in warming the ice to 0 deg C

= 386770.25 - 1392.6 = 385377.65 J

This energy can melt M kg of ice

M * 334000 = 385377.65

M = 385377.65/334000 = 1.153 kg

Ice remaining unmelted

= 0.06 - 1.153 = -1.093 kg

**whole ice will be melted . no ice will be
remaining**

and the final temperature is

3.7 * T = 0.06 * (25 - T)

T = 0.3989 C the ice melts to this temperature

A large punch bowl holds 3.70 kg of lemonade (which is
essentially water) at 25.0 ∘C∘C. A 5.90×10−2-kg ice cube
at -12.0 ∘C is placed in the lemonade. What is the final
temperature of the system? Ignore any heat exchange with the bowl
or the surroundings.

A large punch bowl holds 3.90 kg of lemonade (which is
essentially water) at 25.0 ∘C. A 5.90×10−2-kg ice cube at -11.0 ∘C
is placed in the lemonade. 1. What is the final temperature of the
system? Ignore any heat exchange with the bowl or the surroundings.
2.What is the amount of ice (if any) remaining?

A large punch bowl holds 3.30 kg of lemonade (which is
essentially water) at 25.0 ∘C. A 5.50×10^(−2) kg ice cube at -13.0
∘C is placed in the lemonade.
a.What is the final temperature of the system? Ignore any heat
exchange with the bowl or the surroundings. Answer in degree C
b.What is the amount of ice (if any) remaining? Answer in kg

A large punch bowl holds 3.25 kg of lemonade (which is
essentially water) at 20.0° C. A 1.90-kg ice cube at −10.2°C is
placed in the lemonade. What is the final temperature of the
system, and the amount of ice (if any) remaining? Ignore any heat
exchange with the bowl or the surroundings.

A large punch bowl holds 3.80 kg of lemonade (which is
essentially water) at 22.0 ∘C. A 6.00×10−2-kg ice cube
at -15.0 ∘C is placed in the lemonade.
What is the final temperature of the system? Ignore any heat
exchange with the bowl or the surroundings. Give your answer in
degrees C.

A large punch bowl holds 3.50 kgkg of lemonade (which is
essentially water) at 22.0 ∘C∘C. A 5.10×10−2-kgkg ice
cube at -10.0 ∘C∘C is placed in the lemonade.
What is the final temperature of the system? Ignore any heat
exchange with the bowl or the surroundings.
What is the amount of ice (if any) remaining?

A large punch bowl holds 3.95 kg of lemonade (which is
essentially water) at 20.0

Two 20.0-g ice cubes at –11.0 °C are placed into 255 g of water
at 25.0 °C. Assuming no energy is transferred to or from the
surroundings, calculate the final temperature of the water after
all the ice melts.

A 0.23-kg aluminum bowl holding 0.75 kg of soup at 25.0°C is
placed in a freezer.
What is the final temperature, in degrees Celsius, if 377 kJ of
energy is transferred from the bowl and soup, assuming the soup’s
thermal properties are the same as that of water?

A 0.033 kg glass (with c = 840 J/kg oC) contains 0.281 of
lemonade which, due to the sugar content, has a specific heat of
4,208 J/kg oC. After putting 0.049 kg of ice into the glass and
allowing it to completely melt the final equilibrium temperature of
the glass of lemonade is found to be 2.9 oC. intial temperature is
0.
(a) Calculate the initial temperature of the lemonade and glass.
oC
Note the following data for ice/water: specific...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 17 minutes ago

asked 25 minutes ago

asked 33 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago